Determine if the sequence is arithmetic or geometric, and find the common difference or ratio.


x 1 2 3 4
f(x) 5 −5 −15 −25
Arithmetic, common difference = −10
Arithmetic, common difference = −1
Geometric, common ratio = −10
Geometric, common ratio = −1

Answers

Answer 1

Answer:

The correct option is;

Arithmetic, common difference = -10

Step-by-step explanation:

The x terms given of the sequence are;

x         [tex]{}[/tex]  1          2         3         4      

f(x)      [tex]{}[/tex]   5        -5       -15        -25

For a geometric progression, a·r/a = a·r²/ar = ar³/ar² = (n + 1)/n = r

We check to obtain -5/5 ≠ -15/(-5), therefore, the system is not a geometric progression

For ab arithmetic progression, we have;

(n + 1)th term - nth term = (n + 2)th term - (n + 1)th term = d (The common difference

We check to obtain -5 - 5 10, -15 - (-5) = -15 + 5 = -10 similarly, we have; -25 - (-15) = -25 + 15 = -10

Therefore, the sequence is an arithmetic sequence, with common difference = -10.

Answer 2

Answer:

option 1 A)arithmetic,common difference= -10

Step-by-step explanation:

i took the test and got the answer correct


Related Questions

Write the number in standard form. One hundred forty million, six hundred eighty-seven

Answers

Answer:

140,000,687

Step-by-step explanation:

Can anyone help me? Worth 10 points!!!

Answers

Answer:

33

Step-by-step explanation:

Fabric for 1 pillow case: 1.5 ÷ 3 = 0.5Amount of pillow cases made with 16.5 yards of fabric: 16.5 ÷ 0.5 = 33

I hope this helps!

Answer:

33 pillowcases

Step-by-step explanation:

16.5 yard of fabric/ 1.5 yards of fabric = 11 yards of fabric

Multiply 11 (yards of fabric) by 3 (# of pillowcases) to get the number of pillowcases you can make with 16.5 yards of fabric.

11 * 3 = 3 pillowcases

y=1/2(x+4)(x-2) vertex

Answers

Answer:

            (-1, -4.5)

Step-by-step explanation:

[tex]y=\frac12(x+4)(x-2)\quad\implies\quad x_1=-4\,,\ \ x_2=2[/tex]

vertex is (p, q) where:

[tex]p=\dfrac{x_1+x_2}2=\dfrac{-4+2}2=\dfrac{-2}2=-1\\\\q=f(p)=\frac12(-1+4)(-1-2)=\frac12(3)(-3)=-\frac92=-4.5[/tex]

So the vertex is: (-1, -4.5)

the scale of a map says that 1 cm represents 5 km. what distance on the map (in centimeters) represents an actual distance of 45 kilometers?

Answers

Answer:

Step-by-step explanation:

1cm = 5km

?cm = 45km.

Solve by dividing 45 by 5.

If the distance is 45km, on the map this will be 9cm.

Convert 890 / 110 into a mixed number

Answers

Answer:

8 and 1/11.

Step-by-step explanation:

Answer:

8 1/11

Step-by-step explanation:

Hope this helps!!

Just in case :

(8 and 1/11)

Im Trying to figure out what the x is? Here is the problem:
-54/x=-6? If anyone could help that would be awesome!!!

Answers

X=-9
Pls mark me brainliest

Answer:

9

Step-by-step explanation: you do

54 divided by 6 and get 9 and because 54 is negative then that means your answer will be negative so I am pretty sure the answer you are looking for is 9. :)

Please help if possible thank you♥️

Answers

Answer:

B.

Step-by-step explanation:

16 * 4 = 64

The square root of 64 is 8, the square root of 16 is 4, and the square root of 4 is 2

4 * 2 = 8

Please mark Brainliest thank you!!

Calcuta eI 25%,35% y el 75% de 1250.​

Answers

Answer:

25% of 1250 = 312.5

35% of 1250 = 437.5

75% of 1250 = 937.5

Step-by-step explanation:

1250/100 = 12.5

12.5 * 25 = 312.5

12.5 * 35 = 437.5

12.5 * 75 =  937.5

PLS HELP! URGENT

The graph shows the amount of money paid when purchasing bags of candy at the zoo:
A graph is shown. The x-axis is labeled from 0 to 9 and the y-axis is labeled from 0 to 10. The four points shown on the graph are ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6. These points are joined by a line. The label on the x-axis is Bags of candy. The title on the y-axis is Total cost in dollars.

What is the constant proportionality?

Answers

Answer:

(0,0) represents the cost of 0 bags of candy.

where (1,2) tells us that 1 bag of candy costs $2....(2,4) and 2 bags of candy costs $4.....(3,6) and 3 bags of candy cost $6

Step-by-step explanation:

This site shows the occupations with the highest expected growth rates over the period 2014 - 2024. Which occupation is expected to grow at the highest percentage increase? Is this occupation also expected to have the largest increase in the number of jobs? Explain. (site 1)

Answers

Answer:

the healthcare practitioners; and technical occupations.

Explanation:

According to data presented on the graphs, it is reasonable to conclude that the job groups with the highest expected growth rates over the period 2014 - 2024 are the Healthcare practitioners and the technical occupations; which is said to add a total of about 2.3 million jobs.

how to do this question plz ​

Answers

Answer:

90(8) + 2(38) = 270 + 76 = 346p

Step-by-step explanation:

I need help with this

Answers

Answer:

3 weeks.

Step-by-step explanation:

Answer:

3 weeks

Step-by-step explanation:

Hope this helps

THINK SMARTER Margot wants to use partial products to find 22 X 17.
Write the numbers in the boxes to show 22 X 17-

Answers

Answer:

( 20 × 10 ) + ( 20 × 7 ) + ( 2 × 10 ) + ( 2 × 7 )

Step-by-step explanation:

To create partial products when multiplying two numbers, first break the numbers up into a sum of two numbers. The order that these numbers are multiplied does not necessarily matter as long as they are multiplied with the correct numbers.

22 × 17 = (20 + 2)(10 + 7) = 20 (10 + 7) + 2 (10 + 7) =

( 20 × 10 ) + ( 20 × 7 ) + ( 2 × 10 ) + ( 2 × 7 )

= 374

You can check this method works by using your calculator, and multiplying 22 by 17 to get 374 again!

Then just add like you would if when you distribute.

Remember FOIL (First, Outer, Inner, Last)

when multiplying two binomials(2 terms) or distributing factors with two terms.

For example:

(a + b)(c + d) =

F F

O O

I I

L L

(a × c) + (a × d) + (b × c) + (b × d)

Andrea ordered a pizza for dinner. She ate 1/4 of the pizza. Her brother ate 35% of the pizza. Her mom ate .10 of the pizza. How much pizza is left?

Answers

Answer: 0.3, 30%, or 3/10

Step-by-step explanation:

Andrea ate 1/4 of the pizza.

1/4 = 0.25

Her brother ate 35% of the pizza.

35% = 0.35

Her mom at 0.10 of the pizza.

1 - 0.25 - 0.35 - 0.10 = 0.3 of the pizza

0.3 = 30% = 3/10

Examine triangle ABC.


Triangle A B C. Angle B is 79 degrees. Exterior angle to A is (x + 5) degrees and the exterior angle to C is x degrees. What is the value of x?

37

48

127

138

Answers

Answer:

x=127

Step-by-step explanation:

total sum of all angle of triangle is 180 degree

Now,

taking angle A let interior angle be Y

taking angle C let interior angle be Z

Again, In angle A

the sum of interior angle and exterior angle is 180 degree being staright line

Or, y+(x+5)=180

or,x+y=180-5

or, x+y=175

or,y=175-x --------eqn 1

In angle C

the sum of interior angle and exterior angle is 180 degree being staright line

or, x+z=180

or, z=180-x ----------eqn2

Again, In triangle ABC

total sum of all angle of triangle is 180 degree.

Angle A+ Angle B + AngleC=180

Or, y+79+z=180 -------eqn3

putting the value of eqn-1 and eqn-2 in eqn-3

Or, 175-x+79+180-x=180

Or, 431-180= 2x

Or, 254÷2=x

hence X= 127 degree

Answer:

c127

Step-by-step explanation:

convert 4 5/6 into a decimal

Answers

Answer:

4.8333

Step-by-step explanation:

It is a repeating decimal. Hope it helps

The decimal form of the given fraction is 4.8333

What is decimal form?

Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point. For example, 12.5 is a decimal number.

Given that, convert 4 5/6 into a decimal,

The given mixed fraction is =

4 5/6

Converting into fraction,

29 / 6

Dividing 29 by 6, we get,

29 / 6 = 4.833

Hence, the decimal form of the given fraction is 4.8333

Learn more about decimal forms, click;

https://brainly.com/question/16361602

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the function g(x) represents f(x)=9 cos (x-pi/2)+3 after translating pi/6 units left and 4 units up. which equation represents g(x)?

g(x)= 9 cos (x - 2pi/ 3) -1

g(x)= 9 cos (x - 2pi/3) +7

g(x)= 9 cos (x - pi/3) +7

g(x)= 9 cos (x - pi/3) -1

Answers

Answer:

g(x)= 9 cos (x - [tex]\frac{\pi}{3}[/tex]) +7

Step-by-step explanation:

What is given is f(x) = g cos (x - pi/2) + 3

Note that the standard form of cosine function is a cos (bx + c) + d

a= amplitude

-c/b = phase shift

d = vertical shift

After moving pi/6 to the left --

x = pi/2 - pi/6 = pi/3

once moving pi/6 left, it is at pi/3

moving 4 units up just means adding 4 + 3, and that equals 7, that would be the vertical shift once applied.

So the equation that represents g(x) is C. 9 cos (x - pi/3) + 7

The equation that represents the function g(x) is [tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]

The function is given as:

[tex]f(x)=9 \cos (x-\frac{\pi}{2})+3[/tex]

The function f(x) is first translated [tex]\frac{\pi}{6}[/tex] units left.

The rule of this translation is:

[tex](x,y) \to (x + \frac{\pi}{6},y)[/tex]

So, we have:

[tex]f'(x)=9 \cos (x+ \frac{\pi}{6}-\frac{\pi}{2})+3[/tex]

Take LCM

[tex]f'(x)=9 \cos (x+ \frac{\pi - 3\pi}{6})+3[/tex]

[tex]f'(x)=9 \cos (x- \frac{2\pi}{6})+3[/tex]

Divide 2 by 6

[tex]f'(x)=9 \cos (x- \frac{\pi}{3})+3[/tex]

Next, we translate f'(x) 4 units up.

The rule of this translation is:

[tex](x,y) \to (x,y+4)[/tex]

So, we have:

[tex]g(x)=9 \cos (x- \frac{\pi}{3})+3 +4[/tex]

[tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]

Hence, the equation that represents the function g(x) is [tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]

Read more about function transformation at:

https://brainly.com/question/1548871

What is the length of the altitude of the equilateral triangle below?

A: 32
B: 8 : 3
C: 4
D: 4 : 3
E: 1
F: 8

Answers

Answer:

D

Step-by-step explanation:

AP3X

pog

The altitude of the triangle is 4√3 which is the correct option (D)

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

In any equilateral triangle, the three angles are of equal measure and they equal 60 degrees.

When we drop a perpendicular that is the height of the triangle we have a 30 -60 90 triangle.

The hypotenuse = 8

Let, perpendicular = a and base = 4

According to Pythagoras theorem,

A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

perpendicular²+base² = hypotenuse²

a² + (4)² = (8)²

a² + 16 = 64

a² = 64 - 16

a² = 48

a = √48

a = 4√3

Hence, the altitude of the triangle is 4√3

Learn more about the right triangle here:

brainly.com/question/6322314

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The model of a rugby field is shown. Sarah ran across the length of
the field 5 times for conditioning practice. How far did Sarah run in all?
27 cm
14 cm
Scale
1 cm: 7 m
945 meters
490 meters
378 meters
921 meters
Plzzzzzzzzzz help me

Answers

Answer:

27x7=189.

189x5= ***945cm***

Which expression is equivalent to cos(40°)cos(10°) + sin(40°)sin(10°)?

sin(40° – 10°)
cos(40° + 10°)
sin(40° + 10°)
cos(40° – 10°)

Answers

Answer:

Cos ( 40 + 10)

Step-by-step explanation:

The expression Cos( A + B)

Can be written as;

CosA CosB - SinASin B

Applying this particular case in this question;

Cos (40 + 10) = cos 40cos 10 - sin 40 sin 10

Answer:

its cos(40-10)

Step-by-step explanation:

- 6n - 16 = 20 what does n =?

Answers

Answer: the answer is -6

use symbolab

The slope of the line passing through the points (3,1) and (-2,4) is

Answers

Answer:

the slope is -3/5

Step-by-step explanation:

did it help

Consider the following figure where l1 and l2 are parallel and cut by transversals g1
and g2.

Part A: Determine the values of m, n, v, and r.

Part B: if m|o=8p-12, then determine the value of (p/1/4)


Help please

Answers

Answer:

helppppp

Step-by-step explanation:

Answer:

m: 88

n: 112

v: 88

r: 112

ANSWER NEEDED ASAP
In the figure, line a and line b are parallel. Based on the figure, match each given angle with its congruent angles. angles congruent to ∠1 angles congruent to ∠2 angles congruent to ∠7 angles congruent to ∠6 ∠3,∠7,∠6 arrowRight ∠3,∠7,∠2 arrowRight ∠4,∠8,∠5 arrowRight ∠3,∠6,∠2 arrowRight

Answers

Answer:

angles 3, 7, and 6 are congruent to angle 2

angles 3, 7, and 2 are congruent to angle 6

angles 4, 8, and 5 are congruent to angle 1

angles 3, 6, and 2 are congruent to angle 7

Please mark Brainliest

Answer:

∠3,∠7,∠2 congrent to  6

∠3,∠7,∠6 congruent to 2

∠4,∠8,∠5  congruent to 1

∠3,∠6,∠2  congruent to 7

Step-by-step explanation:

Hanna is building a fence. She will use the house for one side of the fence as shown in the scale drawing below

Answers

Answer:

Step-by-step explanation:

I dont see the drawling...

Given f(x) = -x + 2, find f(6).

Answers

f(x) = -x+2, Find f(6)

f(6) = -6+2

f(6) = -4

The Answer is -4

What is the greatest common factor of 42 and 14?

Answers

It is 14 because if you do prime factorization:

14 = 2 x 7

42 = 2 x 3 x 7

They have the factors 2 and 7 in common.

2 x 7 = 14.

Answer:

The GCF is 14!

Step-by-step explanation: Okay Lets multiply to get 42, 14 x 1 is 14, 14 x 2 is 28, 14 x 3 is 42! We also know that this is the GCF because 42 and 14 can both be divided by 14!

The perimeter if a rectangle is 84 inches. The length is 12 inches less than twice the width. Find the length and width of the rectangle.

Answers

Answer:

Length= 7 Width=2

Step-by-step explanation:

Can anyone help please ??

Answers

Answer:

-0.2

Step-by-step explanation:

Answer:

-0.2

Step-by-step explanation:

Mr. Willy Wonka made gobstoppers to sell as a new candy from his marketing department.
Mr. Michals helped by donating three additional gobstoppers to his collection. Each gobstopper
was then cut into six pieces and sold. There were a total of 72 pieces to sell. How many
gobstoppers did Mr. Willy Wonka make?

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

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